Audrey repeatedly draws cards from a standard 52-card deck without replacement. Compute the expected number of draws for Audrey to get at least one card from each suit.
My answer is: 1+ (12/40 + 1) + (23.7/27 + 1) + ((23.7 - 23.7/27 + 12)/14 + 1) = 7.665079
where I simply assume every time after the draw of getting a unique suit, the rest of cards belonging to the un-drawn suits follow uniform distribution and evenly scatter around the drawn suit cards that remain in the deck. I am not sure if this approach is correct. I don't know if this is the correct approach for this kind of question. Any help would be appreciated.
